ACT Math : Decimals

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #51 :Decimals

Evaluate

Possible Answers:

Correct answer:

Explanation:

First,

Then,

Example Question #1 :How To Multiply Decimals

You bought a dozen eggs marked atand receivedchange from. What is the percent of sales tax?

Possible Answers:

Correct answer:

Explanation:

Set the equation up as

Solve for, which equals

or

Therefore the percent sales tax is:

Example Question #1 :How To Divide Decimals

What is?

Possible Answers:

Correct answer:

Explanation:

0.625 is equal to, while .25 is equal to. Dividing by fractions is the same as multiplying by the reciprocal of the divisor. Thus,which equals, which simplifies to 2.5.

Example Question #2 :How To Divide Decimals

Divide:

Possible Answers:

Correct answer:

Explanation:

Eliminate the decimal place on the denominator by moving the decimal place 2 spaces to the right. Follow suit for the numerator. The decimal place should also move the same number of units to the right. Evaluate.

Example Question #3 :How To Divide Decimals

Divide:

Possible Answers:

Correct answer:

Explanation:

Rewriteso that both are in fraction form.

乘法运算转换除号,take the reciprocal of the 2nd term.

Example Question #1 :Ordering

Order the following decimals from greatest to least:

0.999, 0.909, 0.990

Possible Answers:

0.990, 0.999, 0.909

0.999, 0.909, 0.990

0.909, 0.990, 0.999

0.909, 0.999, 0.990

0.999, 0.990, 0.909

Correct answer:

0.999, 0.990, 0.909

Explanation:

The greatest is 0.999 (999/1000), then 0.990 (990/1000), finally 0.909 (909/1000).

0.999 > 0.990 > 0.909

Example Question #1 :Ordering

Place the following numbers in order from smallest to greatest:

Possible Answers:

Correct answer:

Explanation:

When comparing decimals, move left to right, comparing the size of the tenths, then the hundredths, then the thousandths, etc….

Example Question #3 :Ordering

Arrange the following from least to greatest:

Possible Answers:

Correct answer:

Explanation:

From least to greatest:

0.007 (), 0.07 (), 0.08 (), 0.9 (), 1.33 (and), 1.44 (and), 14

Example Question #1 :How To Order Decimals From Least To Greatest Or From Greatest To Least

Put the following in order of least to greatest:

Possible Answers:

None of the other answers

Correct answer:

None of the other answers

Explanation:

Begin by converting each fraction into a decimal:

Now we can put the decimals in order:

0.269, 0.27, 0.2788, 0.28, 0.3157

or:

No answer choice matches this order, so our answer is "None of the other answers"

Example Question #4 :Ordering

Order the following decimals from greatest to least:

Possible Answers:

Correct answer:

Explanation:

With decimals, the larger number has a value in the larger spot (anything with a nonzero value in the tenths, is larger than any number with a 0 in the tenths and a digit in the hundredths, and so on). Thus the correct ordering starts with the decimal with the largest digit in the tenth spot, or .340.

后,只有一个非零值in the tenths spot, so .101 comes next.

Then there are only two that have nonzero values in the hundreths spot, and since 5 is larger than 1 the next two are .052 and then .011.

Finally, the smallest number is the one with zeroes in the tenths and hundreths spot so .009 is the smallest.

Thus resulting in,

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